GCF of 975/346, 4045/973
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 975/346, 4045/973 i.e 5/336658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 975/346, 4045/973.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 975/346,4045/973?
Given fractions are 975/346,4045/973
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 975/346,4045/973, numerators are 975,4045
Denominators are 346,973
The GCF of 975,4045 is 5 .
LCM of 346,973 is 336658.
The greatest common factor of 975/346,4045/973 = [GCF of 975,4045]/[LCM of 346,973]= 5/336658
Therefore, the GCF of 975/346,4045/973 is 5/336658.
To find the highest common factor of 975,4045, we have to find the factors of both numbers and list the highest common factor.
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The factors of 4045 are 1, 5, 809, 4045
The HCF of 975,4045 is 5.
Lets's calculate GCF of 975,4045
| 5 | 975, 4045 |
| 195, 809 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 975,4045 By Matching Biggest Common Factor Method
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Now, list down the factors of 4045
:1,5,809,4045
Greatest Common Factor
We found the factors 975,4045 . The biggest common factor number is the GCF number.
So the greatest common factor 975,4045 is 5.
Lets's calculate LCM of 346,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 336658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/336658
Therefore, the GCF of Fractions 975/346,4045/973 is 5/336658
Least Common Multiple of 346,973 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 346,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,973) x common factors =1 x 1 = 1
LCM(346,973) = ( 346 × 973 ) / 1
LCM(346,973) = 336658 / 1
LCM(346,973) = 336658
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FAQs on GCF of Fractions of 975/346, 4045/973
1. What is the HCF of 975,4045?
The HCF of 975,4045 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 975/346, 4045/973?
Answer: GCF of Numerators as per given numbers 975/346, 4045/973 is
GCF of Numerators i.e. for 975,4045 is 5
LCM of denominators i.e. for 346,973 is 336658.
Thus, GCF of Fractions is 5/336658.Finally, GCF of Fractions for 975/346, 4045/973 is 5/336658.